Mathematics and Statistics

2024/2025

Academic Year

ENG

Instruction in English

5

ECTS credits

Delivered at:

Department of Mathematics

Course type:

Elective course

When:

1 year, 3 module

Instructors

Гуревич Андрей Михайлович

Korotyaev, Evgeny

Course Syllabus

Abstract

The goal of the course Mathematics and Statistics is to study basic concepts of algebra, geometry, analysis, probability theory and mathematical statistics at the level that would allow students to solve applied problems that require the use of mathematical apparatus. The course materials can be used for the further study and application of methods aimed at solving problems from different fields of knowledge, for the definition and study of mathematical models for such problems. This discipline will allow the students of the Department of Applied Political Science to study the mathematical and statistical components of their professional education.

Learning Objectives

• The goal of this course is to introduce the students to the basic mathematical notions and techniques needed to perform mathematical modeling and statistical analysis.

Expected Learning Outcomes

• know the basic concepts and properties of matrices
• be able to calculate the determinant and apply its properties
• be able to explore system of linear algebraic equations using Cramer's formulas
• be able to solve linear algebraic equations system by Gauss method

Course Contents

• 1. Elements of Linear Algebra
• 2. Fundamentals of mathematical analysis
• 3. Probability spaces
• 4. Random variables
• 5. Statistical estimation and hypothesis testing

Assessment Elements

• Quiz
• Test
• Homework
• Exam

Interim Assessment

• 2024/2025 3rd module
  0.4 * Exam + 0.1 * Homework + 0.2 * Quiz + 0.3 * Test

Bibliography

Recommended Core Bibliography

• Fuad Aleskerov, Hasan Ersel, & Dmitri Piontkovski. (2011). Linear Algebra for Economists. Springer. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsrep&AN=edsrep.b.spr.sptbec.978.3.642.20570.5

Recommended Additional Bibliography

• Ford, W. (2015). Numerical Linear Algebra with Applications : Using MATLAB (Vol. First edition). London: Academic Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=485990

Authors

• Kumacheva Suriia Shakirovna
• BRODSKAYA NATALYA NIKOLAEVNA